結果

問題 No.2106 Wild Cacco
ユーザー gew1fw
提出日時 2025-06-12 15:56:42
言語 PyPy3
(7.3.15)
結果
TLE  
実行時間 -
コード長 1,777 bytes
コンパイル時間 265 ms
コンパイル使用メモリ 82,728 KB
実行使用メモリ 270,624 KB
最終ジャッジ日時 2025-06-12 15:56:47
合計ジャッジ時間 4,429 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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ファイルパターン 結果
sample AC * 5
other AC * 7 TLE * 1 -- * 22
権限があれば一括ダウンロードができます

ソースコード

diff # 

MOD = 998244353

s = input().strip()
n = len(s)

from collections import defaultdict

# Initialize DP with the starting state (balance 0, count 1)
dp = defaultdict(int)
dp[(0, 0)] = 1

for i in range(n):
    new_dp = defaultdict(int)
    current_char = s[i]
    for (lo_prev, hi_prev), cnt in dp.items():
        if current_char == '.':
            # Replace with '('
            new_lo = lo_prev + 1
            new_hi = hi_prev + 1
            new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD

            # Replace with ')'
            new_lo_r = max(lo_prev - 1, 0)
            new_hi_r = hi_prev - 1
            if new_hi_r >= 0:
                new_dp[(new_lo_r, new_hi_r)] = (new_dp[(new_lo_r, new_hi_r)] + cnt) % MOD

            # Replace with '?'
            new_lo_q = max(lo_prev - 1, 0)
            new_hi_q = hi_prev + 1
            new_dp[(new_lo_q, new_hi_q)] = (new_dp[(new_lo_q, new_hi_q)] + cnt) % MOD
        else:
            if current_char == '(':
                new_lo = lo_prev + 1
                new_hi = hi_prev + 1
                new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
            elif current_char == ')':
                new_lo = max(lo_prev - 1, 0)
                new_hi = hi_prev - 1
                if new_hi >= 0:
                    new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
            else:  # current_char is '?'
                new_lo = max(lo_prev - 1, 0)
                new_hi = hi_prev + 1
                new_dp[(new_lo, new_hi)] = (new_dp[(new_lo, new_hi)] + cnt) % MOD
    dp = new_dp

result = 0
if n % 2 != 0:
    print(0)
else:
    for (lo, hi), cnt in dp.items():
        if lo <= 0 <= hi:
            result = (result + cnt) % MOD
    print(result % MOD)
0